71970960 has 80 divisors (see below), whose sum is σ = 225860544. Its totient is φ = 18955776.

The previous prime is 71970947. The next prime is 71970967. The reversal of 71970960 is 6907917.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (71970967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18114 + ... + 21726.

Almost surely, 2^71970960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71970960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112930272).

71970960 is an abundant number, since it is smaller than the sum of its proper divisors (153889584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71970960 is a wasteful number, since it uses less digits than its factorization.

71970960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 71970960 is about 8483.5700032475. The cubic root of 71970960 is about 415.9608259463.

The spelling of 71970960 in words is "seventy-one million, nine hundred seventy thousand, nine hundred sixty".